Accelerating black holes and spinning spindles

M5-branes wrapped on a spindle

“…This result can be contrasted with analogous solutions describing D3-branes and M2-branes wrapping spindles in [6] and [12], respectively, where the total R-symmetry flux though the spindle was instead given 5 by (n − − n + )/(n − n + ). In fact (2.19) might naively be identified with a "topological twist" since it is a corollary of the usual topological twist when there is a local identification of the spin connection with the R-symmetry gauge fields.…”

“…Nevertheless, we find that formally setting n − = n + = 1 in our final expression for the central charge, given in (4.22), then we precisely recover the expression for the central charge of [18] for the case of the standard topological twist and genus g = 0. Something similar happens for accelerating black hole solutions associated with M2-branes wrapping "spinning spindles" [12].…”

“…Another generalisation, describing M2-branes wrapping spindles, was discussed in [12]. A class of AdS 2 × Σ solutions were constructed in minimal D = 4 gauged supergravity.…”

“…(e.g. see appendix A of [12]). The integrals can be performed straighforwardly and we find that we must demand…”

Supersymmetric black holes with spiky horizons

“…, also called spindle (see [29][30][31] for a list of recent references on this topic). This space is topologically a 2-sphere, but with conical singularities at the poles, characterized by deficit angles 2π(1 − 1/n 1,2 ), with n 1,2 two coprime positive integers.…”